Cremona's table of elliptic curves

7350 = 2 · 3 · 5² · 7²

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Class	7350cm	Isogeny class
Conductor	7350	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	18144	Modular degree for the optimal curve
Δ	10296222826050 = 2 · 36 · 52 · 710	Discriminant
Eigenvalues	2- 3- 5+ 7-  0 -4  3 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-7253,180207]	[a1,a2,a3,a4,a6]
j	5975305/1458	j-invariant
L	4.0724262789139	L(r)(E,1)/r!
Ω	0.67873771315232	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	58800fh1 22050bh1 7350o1 7350bn1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 7350cm1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-	+	-	0	-4	3	-2	-3	0	1	10	9	10	-3	6	6	-8	4	3	14	11	0	15	-7

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Quadratic twists for elliptic curve 7350cm1

-4	-3	5	-7
58800fh1	22050bh1	7350o1	7350bn1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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